101311121111 has 64 divisors (see below), whose sum is σ = 115552604160. Its totient is φ = 88418304000.

The previous prime is 101311121077. The next prime is 101311121137. The reversal of 101311121111 is 111121113101.

It is a cyclic number.

It is not a de Polignac number, because 101311121111 - 2¹⁰ = 101311120087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311121311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158051351 + ... + 158051991.

It is an arithmetic number, because the mean of its divisors is an integer number (1805509440).

Almost surely, 2^101311121111 is an apocalyptic number.

101311121111 is a deficient number, since it is larger than the sum of its proper divisors (14241483049).

101311121111 is a wasteful number, since it uses less digits than its factorization.

101311121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101311121111 its reverse (111121113101), we get a palindrome (212432234212).

The spelling of 101311121111 in words is "one hundred one billion, three hundred eleven million, one hundred twenty-one thousand, one hundred eleven".